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Simplifying 12 + -5(w + -13) = 3(2w + -5) Reorder the terms: 12 + -5(-13 + w) = 3(2w + -5) 12 + (-13 * -5 + w * -5) = 3(2w + -5) 12 + (65 + -5w) = 3(2w + -5) Combine like terms: 12 + 65 = 77 77 + -5w = 3(2w + -5) Reorder the terms: 77 + -5w = 3(-5 + 2w) 77 + -5w = (-5 * 3 + 2w * 3) 77 + -5w = (-15 + 6w) Solving 77 + -5w = -15 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 77 + -5w + -6w = -15 + 6w + -6w Combine like terms: -5w + -6w = -11w 77 + -11w = -15 + 6w + -6w Combine like terms: 6w + -6w = 0 77 + -11w = -15 + 0 77 + -11w = -15 Add '-77' to each side of the equation. 77 + -77 + -11w = -15 + -77 Combine like terms: 77 + -77 = 0 0 + -11w = -15 + -77 -11w = -15 + -77 Combine like terms: -15 + -77 = -92 -11w = -92 Divide each side by '-11'. w = 8.363636364 Simplifying w = 8.363636364
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